Density is a physical property that relates the mass of a substance to its volume. a. calculate the density, in g/ml , of a liquid that has a mass of 0.155 g and a volume of 0.000235 l. b. calculate the volume in milliliters of a 4.71-g sample of a solid with a density of 3.63 g/ml. c. calculate the mass of a 0.293-ml sample of a liquid with a density of 0.930 g/ml.

A) 0.660 g/ml

B) 1.297 ml

C) 0.272 g

Explanation:

Every substance, body or material has mass and volume, however the mass of different substances occupy different volumes.  This is where density appears as a  physical characteristic property of matter that establishes a relationship between the mass of a body or substance and the volume it occupies:

(1)

Knowing this, let's begin with the answers:

Here the mass is and th volume

Solving (1) with these values:

(2)

(3)

In this case the mass of a sample is and its density is .

Isolating from (1):

(4)

(5)

(5)

In this case the volume of a sample is and its density is .

Isolating from (1):

(6)

(7)

(8)

a.Distance = 150 m

b. Displacement = 50 m

Time lapsed = 5 seconds

Explanation:

a. Distance is the change in the position of an object.

The distance covered by the car = 100 + 50

                                                   = 150 m

b. Since displacement is a vector quantity,

Displacement of the car = 100 - 50

                                        = 50 m due east

c. Time elapsed is the time taken for the motion of the car starting from when its starts to when it stops.

Thus, the time elapsed = 4 + 1

                        = 5 seconds